Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 11, Problem 11.18P
(a)
To determine
Calculate the time taken to reach
(b)
To determine
Calculate the consolidation settlement at
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Under normal loading condition, a 3.6-m thick clay (normally consolidated) has po = 190 kPa and eo = 1.22. A surcharge of 190 kPa reduces its void ratio to 0.91. The hydraulic conductivity of the clay for the loading range is 6.1 x 10-5 m/day.
a. What is the coefficient of volume compressibility of the clay?
b. What is the coefficient of consolidation of the clay?
c. How long will it take for this clay layer to reach 60% consolidation if it is drained on one side only?
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At 0.45 porosity the hydraulic conductivity of the sand is 0.010cm/sec.what is the hydraulic conductivity at n=0.50
Chapter 11 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- A sand has Gs = 2.66. Calculate the hydraulic gradient that will cause boiling for e = 0.35, 0.45, 0.55, 0.7, and 0.8.arrow_forwardFor a normally consolidated laboratory clay specimen drained on both sides, the following are given: σ0’ = 4000 ib/ft² e=1.2 σ0’ + Δσ’= 5000 lb/ft² e=0.9 Thickness of clay specimen= 2in Time for 50% consolidation= 2 min. Determine the hydraulic conductivity (ft/min) of the clay for the loading range. How long (in days) will it take for a 6-ft clay layer in the field(drained on both side) To reach 60% consolidation?arrow_forwardThe hydraulic conductivity of a sand at a void ratio of 0.750 is 0.047 cm/s. Estimate the coefficient of permeability at a void ratio of 0.450 1. Using Casagrande equation 2. Using Kozeny-Carman equationarrow_forward
- 1. Under normal loading condition, a 3.6 m thick clay (normally consolidated) has P, = 190 KPa and e, =1.22. A surcharge of 190 KPa reduces its void ratio to 0.98. The hydraulic conductivity of the clay for the loading range is 6.1 x 10ʻ m/day. a. What is the coefficient of volume compressibility of the clay? b. What is the coefficient of consolidation of the clay? c. How long will it take for this clay layer to reach 60% consolidation if it is drained on one side only?arrow_forwardbe the hydraulic conductivity at 20°C? Ans. 1.0 x 10 cm/sec 4. For a normally consolidated clay, the following values are given. k(cm/sec) 0.45 x 10 e 0.78 1.1 0.88 x 10 Estimate k at a void ratio of 0.97 6.0089 107arrow_forwardCVE 331: Theoretical hydraulic conductivity calculation Problem 1: The hydraulic conductivity of a sandy sol is 7x10 cm/sec at void ratio 0.68. What is the hydraulic conductivity at void ratio 0.85 ? (o.re) A= 2,42e k2 ei Problem 2: The hydraulic conductivity of a clay soil is 121o* cm/sec at void ratio 0.56, and 3.1x10 cm/sec at void ratio 0.74. What is the hydraulic conductivity the soll at void ratio 0.65 ? e3 ki %3D - 3. 797 GRAIN SIZE DISTRIBUTION GRAPH. A- PROJECEarrow_forward
- Given the following: H1 = 1.5 m H2 = 3.0 m H3 = 2.0 m K1 = 0.001 cm/sec K2 = 0.032 cm/sec K3 = 0.000041 cm/sec 1. Find the effective average permeability of the deposit in the horizontal direction. (in cm/s) 2. Find the effective average permeability of the deposit in the vertical direction. (in cm/s) 3. What is the ratio of the equivalent hydraulic conductivity?arrow_forwardThe coefficient of permeability of a sand at a void ratio of 0.62 is 0.03 cm/s. Estimate the coefficient of permeability at a void ratio of 0.48 using Casagrande equation.arrow_forward2. A specimen (50 mm diameter and 100 mm height) of moist sand weights 3.31 N. Its dry weight is 3.0 N and the specific gravity of the solids is 2.65. Given the maximum and the minimum void ratio of the sand emax = 1.05 and emin = 0.65, respectively. (a) Determine the relative density of the sand. (b) Calculate the saturated unit weight and the effective (or buoyant) unit weight of the sand. (c) Use your own words to describe the meaning of effective (or buoyant) unit weight of the soil.arrow_forward
- 11.16 A 3.75 m clay layer in the field (drained on one side) is normally consolidated. When the pressure is increased from 50 kN/m? to 150 kN/m?, the void ratio decreases from 0.9 to 0.75. The hydraulic conductivity, k, of the clay for the above loading range was found to be 6 x 10-7 cm/sec. a. How long (in days) will it take for the clay layer to reach 50% consolidation? b. What is the settlement at that time (that is, at 50% consolidation)?arrow_forwardA stratified soil has the following properties: h1 = 1.75m h2 = 2.5m h3 = 4.35m k1 = 2.25E-03 cm/sec k2 = 3.15E-04 cm/sec k3 = 4.75E-05 cm/sec What is the ratio of equivalent hydraulic conductivity?arrow_forward3. A 405 cm³ volume of fully saturated clay weights 8.1 N and the specific gravity of the solids is 2.70. Given the liquid limit and the plastic limit of the clay are LL (w₁) = 40% and PL (wp )= 10.5%, respectively. (1) Find the plasticity index PI of the clay. (2) What is the liquidity index of the clay? (3) Do you expect a brittle type of failure of this soil? Why?arrow_forward
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